AN ALGORITHM FOR SOLVING SYSTEM OF LINEAR INEQUALITIES

AN ALGORITHM FOR SOLVING SYSTEM OF LINEAR INEQUALITIES

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摘要 A new algorithm is presented for solving a system of linear inequalities. Starting at any point by solving a least squares problem we can either obtain a feasible point or determine that no solution exists. A new algorithm is presented for solving a system of linear inequalities. Starting at any point by solving a least squares problem we can either obtain a feasible point or determine that no solution exists.

作者王嘉松吴忠麟

机构地区 Department of Mathematics Department of Mathematics

出处《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 1994年第2期191-194,共4页

基金 The project supported by National Natural Science Foundation of China.

关键词 LINEAR INEQUALITIES least SQUARES METHOD feasible direction linear inequalities, least squares method, feasible direction

分类号 O241 [理学—计算数学]

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1赵金熙.ABS ALGORITHMS FOR SOLVING LINEAR INEQUALITIES[J].Numerical Mathematics A Journal of Chinese Universities(English Series),1994,3(2):154-162.
2黄建国,叶中行,徐雷.A DYNAMICAL SYSTEM ALGORITHM FOR SOLVING A LEAST SQUARES PROBLEM WITH ORTHOGONALITY CONSTRAINTS[J].Journal of Shanghai Jiaotong university(Science),2001,6(1):81-85. 被引量：1
3Zi-Luan Wei (Institute of Computational Mathematics and Scientific / Engineerin Computing, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, China).SUBSPACE SEARCH METHOD FOR A CLASS OF LEAST SQUARES PROBLEM[J].Journal of Computational Mathematics,2000,18(2):133-140.
4QIU Yu-yang,ZHANG Zhen-yue,WANG An-ding.The least squares problem of the matrix equation A_1X_1B_1~T+A_2X_2B_2~T=T[J].Applied Mathematics(A Journal of Chinese Universities),2009,24(4):451-461.
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8An-ping Liao(College of Science, Hunan Normal University, Changsha 410081, China).ON THE LEAST SQUARES PROBLEM OF A MATRIXEQUATION[J].Journal of Computational Mathematics,1999,17(6):589-594. 被引量：2
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10Zhou Zongfang(Chongqing University of Posts and Telecommunication, Chongqing 630065, P. R. China).The Application of ODE Method in MOP[J].The Journal of China Universities of Posts and Telecommunications,1996,3(2):52-57.

Numerical Mathematics A Journal of Chinese Universities(English Series)

1994年第2期

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AN ALGORITHM FOR SOLVING SYSTEM OF LINEAR INEQUALITIES

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